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Finding the Third Proportional to 382,314 and 831,080

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Solution

The third proportional to 382,314 and 831,080 is: 1,806,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,314 : 831,080 = 831,080 : x
  2. Step 2: Convert to fraction form
    382,314/831,080 = 831,080/x
  3. Step 3: Cross multiply
    382,314x = 831,080 × 831,080
  4. Step 4: Simplify right side
    382,314x = 690,693,966,400
  5. Step 5: Solve for x
    x = 690,693,966,400/382,314
  6. Step 6: Final answer
    x = 1,806,614.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.